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Question

The wave function of a pulse is given by y=5(4x+6t)2 where x and y are in meter and t is in second, then determine the wave velocity of the pulse.

A
2m/s
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B
1m/s
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C
1.5m/s
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D
2.5m/s
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Solution

The correct option is (C) 1.5m/s
According to the question

Wave function is given as

y=5(4x+6t)2

For finding the velocity we have to differentiate it with respect to the time

Let 4x + 6t = m

Then,

dmdt=4dxdt+6

Now, we can also write as y=5m2

Or,

dydt=10mdmdt

Or,dydt=10m(4dxdt+6)

Or,4dxdt+6=0

Or,dxdt=64

Hence, velocity of the pulse is -1.5 m/s



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